Given that a circle has a diameter of 8 inches and we are required to find its area using 3.14 as pi.
We know that the formula for calculating the area of a circle is A = πr², where A is the area, π is the mathematical constant pi (approximately 3.14), and r is the radius of the circle.
Since we are given the diameter of the circle, we can calculate its radius using the formula: radius (r) = diameter/2
Therefore, the radius of this circle is: r = 8/2 = 4 inches
Now, we can calculate the area of the circle using the formula: A = πr² Substituting the value of r, we get: A = 3.14 x 4² A = 3.14 x 16 A = 50.24 square inches
Therefore, the area of the circle is 50.24 square inches.
The answer is:
50.24 in²Work/explanation:
The formula for the circle's area :
[tex]\sf{A=\pi r^2}[/tex]
where :
A = areaπ = 3.14r = radiusWe know the diameter, but the radius is one-half of that, so the radius is :
Radius = Diameter ÷ 2 = 8 ÷ 2 = 4 inchesHere's a diagram for better understanding:
[tex]\setlength{\unitlength}{1.1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\small 4\ in}\end{picture}[/tex]
Now, plug in the data:
[tex]\large\begin{gathered}\bf{A=\pi r^2}\\\\\bf{A=3.14\times4^2}\\\\\bf{A=3.14\times16}\\\\\bf{A=50.24\:in^2}\end{gathered}[/tex]
Therefore, the area is 50.24 in².I will give Brainliest if answer is correct - Please answer ASAP
Answer:
0.063 mg
Step-by-step explanation:
1 gram equals to 1000 milligrams
so we converte the answer to milligrams
6.3 x 10^-5 equals to 0.000063
So we converte
1 gram 1000 mg
0.000063g =
0.000063 X 1000 = 0.63 mg
answer is 0.063 mg
A middle school club is planning a homecoming dance to raise money for the school. Decorations for the dance cost $100, and the club is charging $10 per student that attends.
Which graph describes the relationship between the amount of money raised and the number of students who attend the dance?
The amount of money raised and the number of students who attended the dance will be directly proportional to each other, meaning both are positively dependent on each other. This type of a relationship is called a linear relationship, which can be represented by a type of graphical method called the "linear graph".
To accurately represent the data, on the x axis you need to plot the the number of students attending the dance; and on the y axis you need to plot the amount raised and you'll obtain a positive slope of 10.
The starting point of the graph would have the coordinates (0,100) or x = 0 and y = 100, because even if there are no students attending the event, the decoration cost of 100 dollars would still have to be paid.
The equation for the same should be written as: Amount of money raised = 10 x no. of students + 100
Here's a link to similar graph based questions for practice
https://brainly.com/question/25671164?referrer=searchResults
Identify the property:
4(0.25) = 1
Answer:
Symmetric property
Step-by-step explanation:
The symmetric property states that if a = b, then b = a. In other words, if one side of an equation is equal to the other side, then the two sides are interchangeable. This is symbolized by the following equation: a = b if and only if b = a. The symmetric property is used to solve equations with two variables.
Answer:
The answer is Symmetric Property.
Surface Area
Part A
What is the area of each face of cube A?
Part B
How can you calculate the surface area of cube A? What is the surface area of cube A?
Part C
What is the area of each face of cube B?
Part D
How is the area of each face of cube B related to the area of each face of cube A?
Part E
What is the surface area of cube B?
4 liters of 2% milk contains 8% cholesterol. A container of skim milk contains 2% cholesterol. How many liters of skim milk need to be added to the 4 liters of 2% milk to create a mixture with 4% cholesterol?
I will give Brainliest. Please answer ASAP
Answer:
-by-step explanation:
It should be 32.56 mg hope this answers your question
This is the question that I am struggling on right now. If you could help me as soon as possible, that would be great. Thank You!
Answer:
1) cos function (it looks just like one)
2) yint is (0,1) or y=1
3) Smallest xint is (-2π,0)
4) greatest y value is y=1 and thats when x=0
5) Not sure what the last one is asking
Compare square root of one hundred sixty and one hundred fifteen ninths using <, >, or =.
square root of one hundred sixty is greater than one hundred fifteen ninths
square root of one hundred sixty is equal to one hundred fifteen ninths
one hundred fifteen ninths is greater than square root of one hundred sixty
one hundred fifteen ninths is less than square root of one hundred sixty
The comparison of the numbers are √160 > √115.9. Hence, the correct option is A.
How to compare the numbers?The numbers are given as
square root of one hundred sixty and one hundred fifteen ninths
Rewrite properly as
√160 and √115.9
By comparing the radical of both numbers, we have
160 and 115.9
160 is greater than 115.9
Hence, the comparison of the numbers are √160 > √115.9
Read more about inequalities at:
https://brainly.com/question/30231017
what is 15x5 whimsyyyyyy
I need help with this question, I'm not very good at math and all help is appreciated!
Answer:
A
Step-by-step explanation:
We can solve for H by isolating it on one side of the equation, as follows:
J/H - I/H = G
Taking H as the common denominator:
(J - I)/H = G
Multiplying both sides by H:
J - I = GH
Adding I to both sides:
J = GH + I
Dividing both sides by G:
H = (J - I)/G
So the answer is
(A)
H = (J - I)/G.
Answer: A
Step-by-step explanation:
[tex]\frac{J}{H} = G + \frac{I}{H}[/tex] >Since you are solving for H bring I/H to the other side
by subtracting I/H from both sides
[tex]\frac{J}{H}- \frac{I}{H} = G[/tex] >There is a common denominator so you can
combine the fractions
[tex]\frac{J-I}{H} = G[/tex] >Multiply both sides by H or cross multiply whichever
way your mind things about how to get H on top
[tex]J-I = G(H)[/tex] >Divide both sides by G
[tex]\frac{J-I}{G} = H[/tex] >Answer is A
Kelly started with 2 pennies in her penny jar. She puts 2 more pennies in her penny jar every day. How many pennies will she have on Day 10
Answer:
Starting with 2 pennies, Kelly adds 2 more pennies to her penny jar every day. To find out how many pennies she will have on Day 10, we can calculate the total number of pennies accumulated.
On Day 1, she has 2 pennies.
On Day 2, she adds 2 more pennies, bringing the total to 2 + 2 = 4 pennies.
On Day 3, she adds 2 more pennies, bringing the total to 4 + 2 = 6 pennies.
This pattern continues, with 2 additional pennies added each day.
We can summarize the pattern as follows:
Day 1: 2 pennies
Day 2: 4 pennies
Day 3: 6 pennies
Day 4: 8 pennies
Day 5: 10 pennies
Day 6: 12 pennies
Day 7: 14 pennies
Day 8: 16 pennies
Day 9: 18 pennies
Day 10: 20 pennies
Therefore, on Day 10, Kelly will have a total of 20 pennies in her penny jar.
My mom doesn't understand this question:
[tex]7\frac{1}{5} - 5\frac{1}{4}[/tex]
Please solve this equation step by step and explain, preferably with multiple methods. I tried explaining it to her but she still doesn't get it.
Thanks!
The solution of the given expression is-
[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]
We must first transform mixed fractions into improper fractions before we can subtract them.
Let's transform [tex]7\frac{1}{5}[/tex] it into an improper fraction :
[tex]7 \frac{1}{5} = \frac{(7 * 5 + 1)}{5} = \frac{36}{5}[/tex]
Let's change [tex]5\frac{1}{4}[/tex] into an improper fraction now:
[tex]5\frac{1}{4} = \frac{(5 * 4 + 1)}{4} = \frac{21}{4}[/tex]
We can now subtract the fractions:
To subtract fractions, we need to find a common denominator. The least common multiple or the LCM of 5 and 4 is 20.
Converting the fractions to have a common denominator of 20:
(36/5) * (4/4) = 144/20
(21/4) * (5/5) = 105/20
So the subtraction will be as follows:
[tex]\frac{36}{5} -\frac{21}{4} =\frac{(36*4)+(21*5)}{4*5} =\frac{144-105}{20}=\frac{39}{20}[/tex]
Therefore, [tex]7\frac{1}{5} -5\frac{1}{4}[/tex] is equal to [tex]\frac{39}{20}[/tex] or, [tex]1\frac{19}{20}[/tex] .
The solution of the given expression is-
[tex]7\frac{1}{5} -5\frac{1}{4} = 1\frac{19}{20}[/tex]
To know more about mixed fractions, improper fractions,
https://brainly.com/question/28957298
The charts show the distribution of data for two classes on the time they spend on homework. Use center measures and variability measures to compare the average time spent on homework by both classes.
Answer:
40 is the median of both classes
Step-by-step explanation:
Q3-Q1=15
Q3-Q1=30
A box and whisker plot shows the five number summary from a data-set, listed and explained as follows:
The minimum non-outlier value.The 25th percentile, representing the value which 25% of the data-set is less than and 75% is greater than.The median, which is the middle value of the data-set, the value which 50% of the data-set is less than and 50% is greater than%.The 75th percentile, representing the value which 75% of the data-set is less than and 25% is greater than.The maximum non-outlier value.For measure of center, we use the median of each data-set, as follows:
Class 1: 40 minutes.Class 2: 40 minutes.For measure of variability, we use the interquartile range of each data-set, as follows:
Class 1: 45 - 30 = 15 minutes.Class 2: 60 - 30 = 30 minutes.More can be learned about box plots at brainly.com/question/3473797
#SPJ1
I'm not sure how to solve these types of questions, I need help. Thank you!
Answer:
The x-intercept is (-5, 0).
The y-intercept is (0, 5).
Step-by-step explanation:
To find the x-intercept, we set y = 0 and solve for x:
0 = 5 + x
x = -5
Therefore, the x-intercept is (-5, 0).
To find the y-intercept, we set x = 0 and solve for y:
y = 5 + 0
y = 5
Therefore, the y-intercept is (0, 5).
Answer:
x-intercept is (-5,0)
y-intercept is (0,5)
Step-by-step explanation:
We are given a linear equation and are asked to find the x- and y-intercepts of the equation.
[tex]\Huge{y=5+x[/tex]
[tex]\hrulefill[/tex]
What are x- and y-intercepts?In mathematics, the terms "x-intercept" and "y-intercept" refer to points where a graph intersects the x-axis and y-axis. They are important concepts in the study of functions and graphs.
The x-intercept is the point at which a graph crosses or intersects the x-axis. It represents the value of x when y is equal to zero. In other words, it is the value of x when the function or equation is satisfied with y = 0. The x-intercept is often denoted as (x, 0), where "x" is the x-coordinate of the point.
Similarly, the y-intercept is the point at which a graph crosses or intersects the y-axis. It represents the value of y when x is equal to zero. Geometrically, it is the point on the graph where x = 0. The y-intercept is often denoted as (0, y), where "y" is the y-coordinate of the point.[tex]\hrulefill[/tex]
(1) - Finding the x-intercept
To find the x-intercept, you set y equal to zero and solve the equation for x.
[tex]y=5+x\\\\\\\text{Let y=0}\\\\\\\Longrightarrow 0=5+x\\\\\\\Longrightarrow \boxed{x=-5}[/tex]
Thus, the x-intercept is (-5,0).
(2) - Finding the y-intercept
To find the y-intercept, you set x equal to zero and solve the equation for y.
[tex]y=5+x\\\\\\\text{Let x=0}\\\\\\\Longrightarrow y=5+0\\\\\\\Longrightarrow \boxed{y=5}[/tex]
Thus, the y-intercept is (0,5).[tex]\hrulefill[/tex]
We can check this answer using a graphing calculator. Simply type in the given function and see were the function crosses each axis. Refer to the attached image.
Find the x- and y- intercepts of this two-variable equation:
y = 5 + x
To find the x-intercept, we set y = 0 and solve for x:
0 = 5 + x
Subtracting 5 from both sides:
x = -5
Therefore, the x-intercept is -5.
To find the y-intercept, we set x = 0 and solve for y:
y = 5 + 0
Simplifying:
y = 5
Therefore, the y-intercept is 5.
The x-intercept is (-5, 0).
The y-intercept is (0, 5).
Answer:
x: -5,0
y: 0,5
Step-by-step explanation:
y=0
0=5+x
x=-5
x=0
y=5+0
y=5
Which statement compares the fractions three fourths and four twelfths correctly?
A. three fourths < four twelfths
B. three fourths = four twelfths
C. four twelfths > three fourths
D. three fourths > four twelfths
Answer:
D
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] [tex]\frac{4}{12}[/tex] To compare you can use a common denominator. In this case, that would be 12
[tex]\frac{3}{4}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{9}{12}[/tex] Now we can compare
[tex]\frac{9}{12}[/tex] > [tex]\frac{4}{12}[/tex] so,
[tex]\frac{3}{4}[/tex] > [tex]\frac{4}{12}[/tex]
Helping in the name of Jesus.
1.Justin was tracking the growth of his new plant. His plant grew 2 inches every week.His plant was 10 inches when he got it, and 12 inches in the second week. Haw many inches tall was his plant in the sixth week?
2.If Justin's partern of growth continues, how tall will his plant be in the ninth weeks.
Answer:
1.20 inches
2.26
Step-by-step explanation:
6-2=4
so 4 weeks
4x2=8
8 more so 8+12=20
20 +((9-6)x2)=20+(3x2)=26
Answer:
1. 20 in
2. 26 in
Step-by-step explanation:
6-1=5
5*2=10
10in+10in=20in
(9-1)*2=16
16+10=26